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Finding the Fourth Proportional to 456,696.30, 685,087.65 and 124,272.30

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Solution

The fourth proportional to 456,696.30, 685,087.65 and 124,272.30 is: 186,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,696.30 : 685,087.65 = 124,272.30 : x
  2. Step 2: Convert to fraction form
    456,696.30/685,087.65 = 124,272.30/x
  3. Step 3: Cross multiply
    456,696.30x = 685,087.65 × 124,272.30
  4. Step 4: Simplify right side
    456,696.30x = 85,137,417,967.10
  5. Step 5: Solve for x
    x = 85,137,417,967.10/456,696.30
  6. Step 6: Final answer
    x = 186,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.